Affine Type A Crystal Structure on Tensor Products of Rectangles, Demazure Characters, and Nilpotent Varieties

Affine Type A Crystal Structure on Tensor Products of Rectangles, Demazure Characters, and Nilpotent Varieties
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矩形、德马祖尔特征和幂零簇张量积上的仿射 A 型晶体结构

DOI:
10.1023/a:1013894920862
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发表时间:
1998
影响因子:
0.8
通讯作者:
M. Shimozono
M. Shimozono
中科院分区:
数学3区
文献类型:
--
作者:
M. Shimozono

文献摘要

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讨论了Kuniba,Misra,Okado,Takagi和Uchiyama的一个问题,证明了仿射型A的某些高阶Demazure特征标与幂零矩阵共轭类闭包的坐标环的分次特征标是一致的.
Answering a question of Kuniba, Misra, Okado, Takagi, and Uchiyama, it is shown that certain higher level Demazure characters of affine type A, coincide with the graded characters of coordinate rings of closures of conjugacy classes of nilpotent matrices.